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Finding the Fourth Proportional to 14,638.50, 20,201.13 and 8,014.50

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Solution

The fourth proportional to 14,638.50, 20,201.13 and 8,014.50 is: 11,060.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.50 : 20,201.13 = 8,014.50 : x
  2. Step 2: Convert to fraction form
    14,638.50/20,201.13 = 8,014.50/x
  3. Step 3: Cross multiply
    14,638.50x = 20,201.13 × 8,014.50
  4. Step 4: Simplify right side
    14,638.50x = 161,901,956.39
  5. Step 5: Solve for x
    x = 161,901,956.39/14,638.50
  6. Step 6: Final answer
    x = 11,060.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.